SURFACEAREAS AND VOLUMES

A well with 10 m inside diameter is dug 14m deep. Earth taken out of it is spread all around it to make an embankment of height 4 2/3 m. Find the width of the embankment.

• 5m

• 4m

• 4.3m

• 6m

Area of each end in right circular hollow cylinder

• $\pi\left(R^2-r^2\right)$

• $2\pi\left(R^2-r^2\right)$

• $\pi r^2$

• $2\pi r^2$

A rectangular sheet of paper 40 cm × 22 cm, is rolled to form a hollow cylinder of height 40 cm. The radius of the cylinder (in cm) is

• 7

• 3.5

• 5

Find the volume of the figure?

• 1100 in³
• 1600 in³
• 1200 in³
• 1500 in³

For a sphere of radius r, curved surface area of the hemisphere

• $2\pi r^2$

• $3\pi r^2$

• $4\pi r^2$

• $\pi r^2$

A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is

• 4.2 cm

• 2.4 cm

• 2.1 cm

• 1.6 cm

Find the surface area of this figure.

• 148 cm²
• 120 cm²

The length of canvas 1.1 m wide required to build a conical tent of height 14 m and the floor area 346.5 m², is

• 665 m

• 525 m

• 490 m

• 860 m

If curved surface area of cylinder is equal to its volume then radius of cylinder equals........

• 6

• 4

• 2

• 1

What is the formulae for volume of the frustum of the cone?

• $\pi\left(r_1+r_2\right)l$

• $\frac{1}{3}\pi h\left(r_1^2+r_2^2+r_1r_2\right)$

• $\frac{1}{3}\pi l\left(r_1^2+r_2^2+r_1r_2\right)$

• $\pi h\left(r_1^2+r_2^2+r_1r_2\right)$